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Math Help - Dumb father needs help for 6 grade math puzzle!

  1. #1
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    Red face

    I am new to message boards so if this is the wrong place for this math puzzle, i do apologize.

    My son brought home a puzzle that has my whole family stumped.
    I need the answer to this puzzle... please! Using numbers 1-9 only once must = 100 (must use same formula below)


    __ / __ x __ + __ x __ x __ /__ + __ x __ = 100
    example: 8 / 1 x 3 + 4 x 2 x 5 / 9 + 7 x 6 = 228.6666


    But i need it to = 100.
    Thanks to anyone who can help. I will donate $10 to this site for your time. Thank you..... Oh and they all must be whole numbers in each space.

    Sorry if I am not explaining it right.
    Last edited by mr fantastic; September 18th 2009 at 11:36 PM. Reason: Merged posts
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  2. #2
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    Quote Originally Posted by CAPTxSMACK View Post
    __ / __ x __ + __ x __ x __ /__ + __ x __ = 100
    example: 8 / 1 x 3 + 4 x 2 x 5 / 9 + 7 x 6 = 228.6666
    OK Papa; I see from your example that the idea is to go left to right and
    and perform the operations in order, disregarding precedence (which
    means do dividing and multiplication before additions).

    Here's one solution:
    1 / 2 x 5 + 7 x 4 x 6 / 9 + 8 * 3 = 100

    That's the 1st one of a total of 212 possible solutions!

    The last one is:
    9 / 8 x 4 + 2 x 6 x 1 / 3 + 7 * 5 = 100
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  3. #3
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    Quote Originally Posted by CAPTxSMACK View Post
    __ / __ x __ + __ x __ x __ /__ + __ x __ = 100
    Just in case the intention is to use order of precedence, which means do
    multiplications and divisions first, then adding, you'd need to go this way:
    (__ / __ x __) + ( __ x __ x __ /__) + (__ x __ )

    So you'd get 3 amounts (one for each set of brackets), then add them.

    An example:
    (1 / 2 x 6) + (5 x 7 x 8 / 4) + (3 x 9) = 100
    That's 3 + 70 + 27 = 100
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